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The paper investigates the conditions under which compact manifolds can admit metrics with positive scalar curvature, highlighting the significance of topological obstructions. It builds on previous work by Lichnerowicz and others, establishing that certain topological conditions must be met for such metrics to exist, particularly in dimensions less than or equal to seven. The authors also discuss the construction of manifolds with positive scalar curvature and propose a classification based on these findin

Author

daylanneribeiro7

Language

EN